Hi Statalists!

I was reading Gosling, Rentfrow, and Swann Jr.'s (2003) "A very brief measure of the Big-Five personality domains" and was confused by a method they used for testing external correlation of the validity of a short version of Big Five Inventory (both the original, long version and the new, short version have 5 dimensions, i.e. five factors). They wrote:

"To test whether the patterns of correlations were similar across instruments, we computed column-vector correlations for each of the five dimensions. Specifically, we transformed the correlations using Fisher's r-to-z formula and then computed the correlation between the two columns of transformed correlations." (pp.512)

I was just wondering if anyone could please explain what do they mean by computing column-vector correlations and transforming them using Fisher's r-to-z formula? Is this something that can be done with STATA? If not, what would be some other ways to evaluate external validity?

Thank you in advance for your help!

P.S. Here's the link to the original article: https://www.sciencedirect.com/scienc...wxO-AZ-nMQw_TA